What is 81/70 Divided By 3/5

Solving $\frac{81}{70}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{70} \div \frac{3}{5} = \frac{81}{70} \times \frac{5}{3}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $70 \times 3 = 210$
• Form the New Fraction: $\frac{81}{70} \times \frac{3}{5} = \frac{405}{210}$

Let's Simplify $\frac{405}{210}$

• Find the Greatest Common Divisor (GCD) of $405$ and $210$. The GCD of $405$ and $210$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 15}{210 \div 15} = \frac{27}{14}$

Answer $\frac{81}{70}\div\frac{3}{5} = \frac{27}{14}$

The following animation demonstrates the divide-by,